


"""simple docstring"""



def      UpperCAmelCase     (       _lowercase :   int			,   _lowercase :   list	)						-> List[str]:


	"""simple docstring"""




	_enforce_args(_lowercase			,   _lowercase	)
	if n == 0:
		return 0
	lowerCAmelCase_      							=			float('''-inf'''	)
	for i in range(1			,   n + 1	):
		lowerCAmelCase_      							=			max(
		    _lowercase			,   prices[i - 1] + naive_cut_rod_recursive(n - i			,   _lowercase	)	)

	return max_revue
def      UpperCAmelCase     (       _lowercase :   int			,   _lowercase :   list	)						-> Tuple:


	"""simple docstring"""




	_enforce_args(_lowercase			,   _lowercase	)
	lowerCAmelCase_      							=			[float('''-inf'''	) for _ in range(n + 1	)]
	return _top_down_cut_rod_recursive(_lowercase			,   _lowercase			,   _lowercase	)
def      UpperCAmelCase     (       _lowercase :   int			,   _lowercase :   list			,   _lowercase :   list	)						-> List[str]:


	"""simple docstring"""




	if max_rev[n] >= 0:
		return max_rev[n]
	elif n == 0:
		return 0
	else:
		lowerCAmelCase_      							=			float('''-inf'''	)
		for i in range(1			,   n + 1	):
			lowerCAmelCase_      							=			max(
			    _lowercase			,   prices[i - 1] + _top_down_cut_rod_recursive(n - i			,   _lowercase			,   _lowercase	)			,   )

		lowerCAmelCase_      							=			max_revenue

	return max_rev[n]
def      UpperCAmelCase     (       _lowercase :   int			,   _lowercase :   list	)						-> List[Any]:


	"""simple docstring"""




	_enforce_args(_lowercase			,   _lowercase	)

	# length(max_rev) = n + 1, to accommodate for the revenue obtainable from a rod of
	# length 0.
	lowerCAmelCase_      							=			[float('''-inf'''	) for _ in range(n + 1	)]
	lowerCAmelCase_      							=			0

	for i in range(1			,   n + 1	):
		lowerCAmelCase_      							=			max_rev[i]
		for j in range(1			,   i + 1	):
			lowerCAmelCase_      							=			max(_lowercase			,   prices[j - 1] + max_rev[i - j]	)

		lowerCAmelCase_      							=			max_revenue_i

	return max_rev[n]
def      UpperCAmelCase     (       _lowercase :   int			,   _lowercase :   list	)						-> List[Any]:


	"""simple docstring"""




	if n < 0:
		lowerCAmelCase_      							=			F"""n must be greater than or equal to 0. Got n = {n}"""
		raise ValueError(_lowercase	)

	if n > len(_lowercase	):
		lowerCAmelCase_      							=			(
		    '''Each integral piece of rod must have a corresponding price. '''
		    F"""Got n = {n} but length of prices = {len(_lowercase	)}"""
		)
		raise ValueError(_lowercase	)
def      UpperCAmelCase     (       )						-> int:


	"""simple docstring"""




	lowerCAmelCase_      							=			[6, 1_0, 1_2, 1_5, 2_0, 2_3]
	lowerCAmelCase_      							=			len(_lowercase	)

	# the best revenue comes from cutting the rod into 6 pieces, each
	# of length 1 resulting in a revenue of 6 * 6 = 36.
	lowerCAmelCase_      							=			3_6

	lowerCAmelCase_      							=			top_down_cut_rod(_lowercase			,   _lowercase	)
	lowerCAmelCase_      							=			bottom_up_cut_rod(_lowercase			,   _lowercase	)
	lowerCAmelCase_      							=			naive_cut_rod_recursive(_lowercase			,   _lowercase	)

	assert expected_max_revenue == max_rev_top_down
	assert max_rev_top_down == max_rev_bottom_up
	assert max_rev_bottom_up == max_rev_naive


if __name__ == "__main__":
		main()



"""simple docstring"""



from collections import Counter
from timeit import timeit
def      UpperCAmelCase     (       _lowercase :   str = ""			,   )						-> bool:


	"""simple docstring"""




	return sum(c % 2 for c in Counter(input_str.replace(''' '''			,   ''''''	).lower()	).values()	) < 2
def      UpperCAmelCase     (       _lowercase :   str = ""	)						-> bool:


	"""simple docstring"""




	if len(_lowercase	) == 0:
		return True
	lowerCAmelCase_      							=			input_str.replace(''' '''			,   ''''''	).lower()
	# character_freq_dict: Stores the frequency of every character in the input string
	lowerCAmelCase_      							=			{}

	for character in lower_case_input_str:
		lowerCAmelCase_      							=			character_freq_dict.get(_lowercase			,   0	) + 1
	lowerCAmelCase_      							=			0

	for character_count in character_freq_dict.values():
		if character_count % 2:
			odd_char += 1
	if odd_char > 1:
		return False
	return True
def      UpperCAmelCase     (       _lowercase :   str = ""	)						-> None:


	"""simple docstring"""




	print('''\nFor string = '''			,   _lowercase			,   ''':'''	)
	print(
	    '''> can_string_be_rearranged_as_palindrome_counter()'''			,   '''\tans ='''			,   can_string_be_rearranged_as_palindrome_counter(_lowercase	)			,   '''\ttime ='''			,   timeit(
	        '''z.can_string_be_rearranged_as_palindrome_counter(z.check_str)'''			,   setup='''import __main__ as z'''			,   )			,   '''seconds'''			,   )
	print(
	    '''> can_string_be_rearranged_as_palindrome()'''			,   '''\tans ='''			,   can_string_be_rearranged_as_palindrome(_lowercase	)			,   '''\ttime ='''			,   timeit(
	        '''z.can_string_be_rearranged_as_palindrome(z.check_str)'''			,   setup='''import __main__ as z'''			,   )			,   '''seconds'''			,   )


if __name__ == "__main__":
		lowercase_							=							input(
		    'Enter string to determine if it can be rearranged as a palindrome or not: '
		).strip()
		benchmark(check_str)
		lowercase_							=							can_string_be_rearranged_as_palindrome_counter(check_str)
		print(f"""{check_str} can {'' if status else 'not '}be rearranged as a palindrome""")